| Title: | A Dialogue between Additive Functions and Squared Rectangles |
| Speaker: | Mingjia Yang, `13 Mathematics Major Mathematics and Computer Science Albion College Albion, Michigan |
| Abstract: | Rectangles that can be partitioned into squares are called squared rectangles. This talk will demonstrate and prove one surprising property of squared rectangles: the ratio of width/length is rational! Which means, if we have a rectangle of width $\sqrt{2}$ and length 0.8 (of the same unit), then we know this rectangle cannot be squared! We will go over a proof of this result using additive functions. The proof itself is almost as beautiful as the result, since we see how different areas of mathematics interact with each other in a deep way. |
| Location: | Palenske 227 |
| Date: | 4/25/2013 |
| Time: | 3:30 PM |
@abstract{MCS:Colloquium:MingjiaYang`13:2013:4:25,
author = "{Mingjia Yang, `13}",
title = "{A Dialogue between Additive Functions and Squared Rectangles}",
address = "{Albion College Mathematics and Computer Science Colloquium}",
month = "{25 April}",
year = "{2013}"
}